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SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 289800cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
289800.cl1 | 289800cl1 | \([0, 0, 0, -6375, -197125]\) | \(-157216000/1127\) | \(-205395750000\) | \([]\) | \(414720\) | \(1.0031\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 289800cl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 289800cl do not have complex multiplication.Modular form 289800.2.a.cl
sage: E.q_eigenform(10)